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Finding the Fourth Proportional to 3,168.85, 4,753.33 and 977.57

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Solution

The fourth proportional to 3,168.85, 4,753.33 and 977.57 is: 1,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.85 : 4,753.33 = 977.57 : x
  2. Step 2: Convert to fraction form
    3,168.85/4,753.33 = 977.57/x
  3. Step 3: Cross multiply
    3,168.85x = 4,753.33 × 977.57
  4. Step 4: Simplify right side
    3,168.85x = 4,646,712.81
  5. Step 5: Solve for x
    x = 4,646,712.81/3,168.85
  6. Step 6: Final answer
    x = 1,466.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.